- #1
kwuk
- 5
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Hi, I have been given the following problem;
If an electron is confined to a 1-D potential well of infinite barrier height and width
L, the normalized wavefunction Psi(x) of the electron in the various quantized states, n,
is given as Psin(x)=(2/L)0.5 sin(n pi x / L).
For the n=2 state, what is the probability of finding the electron at the centre of the
well?
I have calculated these probability questions in the past, but they have always been for a probability across a range of values for x, i.e from 0 to L/2, which I use as my limits when integrating. In this case however, it is asking about a specific point. I assume that the answer is zero, as the upper and lower limit are identical. Is this correct?
Thanks.
If an electron is confined to a 1-D potential well of infinite barrier height and width
L, the normalized wavefunction Psi(x) of the electron in the various quantized states, n,
is given as Psin(x)=(2/L)0.5 sin(n pi x / L).
For the n=2 state, what is the probability of finding the electron at the centre of the
well?
I have calculated these probability questions in the past, but they have always been for a probability across a range of values for x, i.e from 0 to L/2, which I use as my limits when integrating. In this case however, it is asking about a specific point. I assume that the answer is zero, as the upper and lower limit are identical. Is this correct?
Thanks.